Trying to code backward euler?

2015 11 24
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I am trying to write a code to compute the backward euler approximation of a differential equation. the ODE is dy/dx = -y(x)
so my code looks like
for k = 1:((T/dt)-1)
xb(k+1) = xb(k)+dt;
yb(k+1) = yb(k) + dt*f(yb(k+1),xb(k+1));
end
My problem is that using my equation i am trying to use yb(k+1) to compute itself, which obviously doesnt work, so i get an error 'index exceeds matrix dimension'. How should i resolve this?

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